Math Problem Statement
A shop sold an item at ₹1000. However, during a sale the price of the item is decreased by 10%. Arman used a payment method which provided him a further percentage decrease of 2% on the amount to be paid.
Which of the following is TRUE about the final price of the item that Aman has to pay?
A. It will be equal to 2880.
B. It will be more than 2880.
C. It will be less than 2880.
D. Cannot say as the information is insufficient.
Solution
Let's break down the problem step by step.
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Original Price of the Item: The item is originally sold for ₹1000.
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First Discount (10% off): The item gets a 10% discount during the sale. So, the price after the 10% discount is: So, the price after the 10% discount is ₹900.
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Second Discount (2% off due to the payment method): Arman uses a payment method that gives him an additional 2% discount on the discounted price of ₹900. So, the final price Arman has to pay is:
So, the final price Arman has to pay is ₹882.
Conclusion:
The final price that Arman will pay is ₹882, which is clearly less than 2880.
Therefore, the correct answer is:
C. It will be less than 2880.
Would you like a more detailed breakdown or have any further questions? Here are some related questions to explore:
- How do multiple discounts affect the final price when applied sequentially?
- What is the formula for calculating the final price after multiple percentage discounts?
- How would the price change if the initial price was higher than ₹1000?
- How can the total percentage reduction be calculated from multiple discounts?
- If the first discount was 20% and the second 5%, how would the final price change?
Tip: When calculating discounts sequentially, remember that the second discount is always applied on the already discounted price.
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Math Problem Analysis
Mathematical Concepts
Percentage Calculations
Discounts
Sequential Discounts
Formulas
Final Price = Price after first discount - (Second Discount % × Price after first discount)
Theorems
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Suitable Grade Level
Grades 7-9
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